Digital Materials : Continuum Numerical Methods at the Mesoscopic Scale

• Record Nr.: UNINA9911019523403321
• Autore: Bernacki Marc
• Pubbl/distr/stampa: Newark : , : John Wiley & Sons, Incorporated, , 2024; ©2025
• ISBN: 9781394332472; 1394332475; 9781394332489; 1394332483; 9781394332465; 1394332467
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (312 pages)
• Altri autori (Persone): ForestSamuel
• Soggetti: Materials science; Numerical analysis
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Chapter 1. Dislocation-based Mechanics: The Various Contributions of Dislocation Dynamics Simulations -- 1.1. Introduction -- 1.2. Overview of discrete dislocation dynamics -- 1.2.1. Initial configurations and periodic boundary conditions -- 1.2.2. Mobility functions -- 1.2.3. Forces on dislocations -- 1.2.4. Topological changes -- 1.2.5. Boundary conditions -- 1.3. Mesoscale plasticity -- 1.3.1. Forest interactions -- 1.3.2. Statistical investigations of dislocation mechanisms -- 1.3.3. Lattice friction -- 1.3.4. Combination of multiple strengthening mechanisms -- 1.3.5. Toward polycrystalline plasticity -- 1.3.6. Cyclic deformations -- 1.4. Conclusion and future work -- 1.5. Acknowledgments -- 1.6. References -- Chapter 2. Statistical Approach to the Representative Volume Element Size of Random Composites -- 2.1. Introduction -- 2.2. Elements of numerical homogenization of heterogeneous media -- 2.2.1. Examples of physical properties of heterogeneous media -- ; 2.2.2. Change of scale in heterogeneous media -- 2.2.3. Principle of calculation of apparent properties -- 2.2.4. Homogenization of random media by numerical simulations
• Sommario/riassunto: This book, coordinated by Marc Bernacki and Samuel Forest, delves into digital materials science, focusing on numerical methods at the mesoscopic scale. It explores various topics including mechanics, dislocation dynamics simulations, statistical approaches to random composites, and analytical methods for composites and polycrystals. The authors aim to advance understanding in the field of materials mechanics by discussing discrete dislocation dynamics, mesoscale plasticity, and statistical definitions of representative volume elements. The book is intended for researchers and practitioners in the field of materials science and engineering, providing insights into the mathematical and computational modeling of material behavior.